Kirby (KEX) 10-Q 2008 Q3 Quarterly report

Exhibit 32

Certification Pursuant to Section 13 U.S.C. Section 1350

(As adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002)

In connection with the filing of the Quarterly Report on Form 10-Q for the quarter ended September 30, 2008 (the “Report”) by Kirby Corporation (the “Company”), each of the undersigned hereby certifies that:

1. The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

2. The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

/s/   JOSEPH H. PYNE

Joseph H. Pyne

President and Chief Executive Officer

/s/   NORMAN W. NOLEN

Norman W. Nolen

Executive Vice President,

Chief Financial Officer and Treasurer

Dated:  November 6, 2008